i'm currently LaTeχing a revision of a manuscript, and now there are problems with terminology ..

i just realised that i'm using the term "

..

*

*

sometimes we mathematicians have to be more inventive with terminology ..!

i just realised that i'm using the term "

*net*" in two different senses:- from topology, a net is a generalisation of a sequence: the index set no longer consists of integers, but an arbitrary directed set but not necessarily a poset. (
*the usual example consists of subsets of a fixed set that are partially ordered by inclusion, but not necessarily totally so.*) - an ε-net (with ε positive), on the other hand, is a notion from metric geometry: roughly speaking, it is a locally finite approximation of a metric space.

**f**_{ε}of a fixed Lipschitz function**f**.in other words, i'm building a net from a net of nets!*

*grins**..

*

*frowns***

*sighs**sometimes we mathematicians have to be more inventive with terminology ..!

## 1 comment:

Not necessarily a poset?

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